What is the 9337th prime number?
The 9337th prime number is 97001. The next prime is 97003 (a gap of 2) and the one before is 96997.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 9337th one is 97001.
- 2
97001 is prime because no prime up to ā97001 ā 311.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9337th prime is close to 9337 Ć ln(9337) ā 85356, and here it is 97001.
- 4
97001 is a twin prime: 97001 and 97003 are both prime.
Primes around the 9337th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9334 | 96979 | 6 |
| 9335 | 96989 | 10 |
| 9336 | 96997 | 8 |
| 9337 | 97001 | 4 |
| 9338 | 97003 | 2 |
| 9339 | 97007 | 4 |
| 9340 | 97021 | 14 |
Questions
What is the 9337th prime number?
97001.
Which prime number is 97001?
97001 is the 9337th prime number.
What is the sum of the first 9337 primes?
429,268,262.